Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72200n |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-2.581501582232E+20 |
Discriminant |
Eigenvalues |
2+ 3 5+ 1 4 1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-604675,-793929250] |
[a1,a2,a3,a4,a6] |
j |
-16241202/171475 |
j-invariant |
L |
7.4264664836427 |
L(r)(E,1)/r! |
Ω |
0.074264664730988 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14440n1 3800f1 |
Quadratic twists by: 5 -19 |